## Tuesday, February 14, 2012

### Angelika's Pythagorean Relationship Post

Explain The Pythagorean Relationship

1) Can be used to determine the lenth of a hypotenuse of the right triangle when two lents of the two legs are known.

2) The sum of the areas of squares attached to the legs of a right triangle equals the area of the square attached to the hypotenuse.

3) It's also the relationship between the lenths of a right triangle.

Is This A Right Triangle? Prove It!

a2+b2=c2

64+36=100

(8x8)(6x6)(10x10)

No, it's not a right triangle because 64+36=100 not 121 (11x11)

So it's not equal.

Solve The Missing Lenth

12cm and 5cm

a2+b2=c2

12cm+5cm=17cm

c+17cm

### philips pythagorean post

1.The Pythagorean relation ship is the relation ship between the sides of the triangle

2. a + b = c the side length of the triangle

12+5= c

(12x12)+(5x5)=c

144 + 25=c

169 =C

13=c

3.a + b = c no the triangle isn't a right one.

8 + 6 = 11

(8x8)+(6x6)=(11x11)

64 + 36 = 121

100 = 121 nope

Q#1 what are the areas of the three squares.-92-(4)

a-30x30=9004

b-40x40=1600

c-50x50=2500

Q#2 carmel want to mount a 18cmx18cm picture on a square board that is 4 times the area of the picture.

a-324

b-1296

c-?

Q#3 the hypotenuse of the triangle cuts the circle in half.

what is the diameter of the circle. Express your answer to the nearest tenth of a centimeter.

a + b =c

7 +5 =c

7x7+ 5x5 =c

49 + 25 = c

74 =c

8.6 =c

2. a + b = c the side length of the triangle

12+5= c

(12x12)+(5x5)=c

144 + 25=c

169 =C

13=c

3.a + b = c no the triangle isn't a right one.

8 + 6 = 11

(8x8)+(6x6)=(11x11)

64 + 36 = 121

100 = 121 nope

Q#1 what are the areas of the three squares.-92-(4)

a-30x30=9004

b-40x40=1600

c-50x50=2500

Q#2 carmel want to mount a 18cmx18cm picture on a square board that is 4 times the area of the picture.

a-324

b-1296

c-?

Q#3 the hypotenuse of the triangle cuts the circle in half.

what is the diameter of the circle. Express your answer to the nearest tenth of a centimeter.

a + b =c

7 +5 =c

7x7+ 5x5 =c

49 + 25 = c

74 =c

8.6 =c

### Scribe 1: 2, 8, 15 a, 16 a, 17, 20

*Before you go on, please*

*take the time to read how to work out*

*square roots and it's meaning.*- ----------------------------------------- -

**Solution:**

**The square of a number can be thought as the area of a square.*- This is one way of finding the factors of 225 because you can also have it 15 x 15.
- I chose to do 9 x 25.
- I found the
**Prime Factors**of 9 which was 3 multiplied by itself. - For 25, the
**Prime Factors**were 5 multiplied by itself.. (5 x 5=15)**.** - I then used a basket after using the
**Line of Factorization**and made the basket so that each basket had an even pair. - 3 x 5 = 15, so 15 x 15 = 225!
- I then showed how it would look like using a square and it's sides.
*The square root of 225 = 15, which also equals the square root of 15 squared = 15.*

- ---------------------------------------------- -

**A.)**

- I know that to make 144, you can square the number 7 by itself to get your answer.
- The square of a whole number is a perfect square because if you used 1 block for every unit in the square and had groups of 7 by 7, the length and the area of the square would be the same.
- I found the
**Prime Factors**of 12 which is 6 and 2. (6 x 2 = 12) - Then I found the
**Prime Factors**go 6 and got 3 and 2. (3 x 2) - I boxed in the
**Line of Prime Factorization**and then made a basket using those numbers just to get a clearer understanding. - This resulted into a
*perfect square.*

**B.)**

- Since there is no number that can be multiplied by itself to get 60, I divided 60 to get 30.
- The
**Prime Factors**of 60 would be 30 and 2. - I knew that 3 x 10 would equal 30, and that would be a
**Prime Factor**for that. - Finally, I took the number 10 and divided it again to get 5 x 2.
- The
**Line of Factorization**did not all have even sets of numbers if you would put it in a basket, therefore it is*not a perfect square.*

D.)

- Again, I know that there is no square number to make 40, so I just used the prime numbers 5 and 6. (5 x 6= 40)
- Then I knew that 3 x 2 would make 6.
- The
**Line of Factorization**would be 5 x 3 x 2, which means you can't basket the numbers evenly. - 40 is
*not a perfect square.*

- ------------------------------------------- -

**Solution:**

- For 15 a), since I knew that 7 x 7 would equal 49, I used that as my
**Prime Factor.** - Notice that 7 x 7 makes a
**Perfect Square.** - In the second example I showed how I got the area, which is just side x side.
- When you prime factor a square you can find either side lengths or square roots.
*the square root of 49 = 7, which also equals to the square root of 7 squared, which is also 7.*

- --------------------------------------------------- -

- For 16 a), I just found the
**Prime Factor**for the number 9 which is 3 and 3. - When you multiply 3 by itself, it makes a
**Perfect Square**and equals 9. - Next I just showed how it would look like in pictures.
- You multiply the sides to get your area.
- The square of a number can be thought as the area of a square, which in this case is 3.
*The square root of 9 = 3, which can also equal to the square root of 3 squared = 3.*

- ------------------------------------------- -

**Solution:**

- For this question, I know that there are no square numbers that can equal 54.
- Note:
*A square of the number is the number multiplied by itself.* - For my explanation picture, instead of a square number, I just divided 54 to get 27.
- 27 x 2 = 57
- From then on I started looking at it's
**Prime Factors.** - Finally, I used the line of factorization.
***If you square root the number 57 on the calculator, it will give you an answer of 7.348469228.**

- ---------------------------------------------------- -

**Solution:**

- For a), what I did was multiply the numbers on the side (9 x 4 = 36) because I know that sxs= area. The answer would be 36m2.
- For b), I first used my calculator to find out what the square root of 36 was. I got the answer 6, so for that, I know that 6 x 6 makes a perfect square and equals to 36.
- The boxed numbers are the Line of Prime Factorization.
- I also used a basket after to help make it more understandable.

- ---------------------------------------- -

Here is a helpful video for a better understanding:

*Sorry if the video is confusing at the end!

Here is a game you might want to play in Mangahigh that is really fun ;)

**THANKS FOR GIVING YOUR TIME AND EFFORT INTO READING THIS! Help me out if I have made any mistakes :)**

--------------------------------------------------------------------------------------------------------

*PYTHAGOREAN RELATIONSHIP*

Labels:
kim873,
pythagoras,
pythagorean relationship,
scribepost

### Liam's Pythagorean Post

1. Pythagorean relationship is when one number gets doubled and added to get a total value on a triangle.

2. Pythagorean relationships means a total value.

3. an example of Pythagorean is 2+4=6

4. the Pythagorean means a value of an triangle

## Monday, February 13, 2012

### Lance's Texbook Scribe Post (4,10,15) Pythagorean

4) Estimate the square root of each number, to one decimal. Check with a calculator.

http://staff.argyll.epsb.ca/jreed/math8/strand3/3201.htm

a) 72 b) 103 c) 55

10. Kai uses an entire can of paint on a square backdrop for the school play. The label on the can states that one can cover 27 m² of wall surface. Estimate the backdrop's side length, to one decimal place.

**.**

5x5=25 and 6x6=36 so it should be between the numbers 5 and 6.

**5.2x5.2=27.04 then it move it up into one decimal place which is 5.3**

15. Order the following numbers from least to greatest: 7, square root of 46, 5.8, square root of 27, and 6.3.

5.1, 5.8, 6.3, 6.7, 7

1) Answer in a short paragraph with diagrams

### Camille's Pythagorean Relationship's Post.

## Friday, February 10, 2012

### Liam's pythgoras

C=A+B

C=12+5

12*5=60

c=7sq

C=7

to get the answer u will need to square root the number if the number is 60 it will be 7.

Subscribe to:
Posts (Atom)